200954646144 has 256 divisors, whose sum is σ = 707295744000. Its totient is φ = 54919130112.

The previous prime is 200954646131. The next prime is 200954646169. The reversal of 200954646144 is 441646459002.

200954646144 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 546 + 4 + 61 + 44 = 666.

200954646144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200954646144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375837 + ... + 736995.

It is an arithmetic number, because the mean of its divisors is an integer number (2762874000).

Almost surely, 2^200954646144 is an apocalyptic number.

200954646144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200954646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353647872000).

200954646144 is an abundant number, since it is smaller than the sum of its proper divisors (506341097856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200954646144 is a wasteful number, since it uses less digits than its factorization.

200954646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361212 (or 361194 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 200954646144 in words is "two hundred billion, nine hundred fifty-four million, six hundred forty-six thousand, one hundred forty-four".